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Finding the Third Proportional to 166,013 and 366,915

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Solution

The third proportional to 166,013 and 366,915 is: 810,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,013 : 366,915 = 366,915 : x
  2. Step 2: Convert to fraction form
    166,013/366,915 = 366,915/x
  3. Step 3: Cross multiply
    166,013x = 366,915 × 366,915
  4. Step 4: Simplify right side
    166,013x = 134,626,617,225
  5. Step 5: Solve for x
    x = 134,626,617,225/166,013
  6. Step 6: Final answer
    x = 810,940.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.